Analytical and numerical modeling of a Josephson junction based autonomous micro pump

• Grant number: 24/08346-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: February 01, 2025
• End date: January 31, 2027
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Nathan Jacob Berkovits
• Grantee: Noudéhouénou Gilles Koudafoke
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics, AP.ESP

Abstract

Influenced by a pharmacokinetic/pharmacodynamic approach based on physiology [1-3], this project will address a mathematical model whose structure starts from a micro electrodynamic system model and the laws of physics to model a mechanized hormonal secretion that can be used as a substitute in the regulation of a faulty hormonal system or in the administration of maintenance Anti-Retroviral hormones. This opens the possibility of using this model to develop controllers in the regulation and monitoring of patients in a phase of chronic hormonal dysfunction. This proposed MEMS model will essentially consist of an exciter part in this case an electric resonator, and an actuator all coupled to a nano fluid (Fluid with nano particles) ejection system.We can thus envisage that the coupling of electromechanical resonators constitutes a particularly promising route for the production of extremely integrated, low-cost and low-consumption transducers, actuator sensors or regulators. In this regard, interacting with Prof. Hilda A. Cerdeira whose work on different aspects of the dynamics of Josephson junctions is extremely encouraging for the development of the project. Her experience, not only on Josephson Junctions but also in many practical aspects of nonlinear dynamics and chaos, will allow us to fulfill our ambition of extending this pioneering work , by developing and if possible, experimentally validating a theoretical framework conducive to the design of sensors based on coupled resonators, in synchronized, quasiperiodic or chaotic regimes thanks to the previous published research on MEMS, nonlinear dynamics, AND chaos IN the Josephson junction.The specific objectives of this project are as follows:* Develop mathematical, numerical and, if possible, experimental modeling of MEMS/NEMS thatcan serve as a nanofluid micropump and can be useful in the regulation and maintenance of hormonal regulation systems or in ultrafine ejection systems using regimes of frequency combs (quasi-periodic oscillations) obtained by cou pling of appropriate electrical and mechanical resonators. Propose metrics characterizing the sensitivity of the oscillation state to the parameters of the resonators.* Carry out a study of the different clinical anomalies in which these models could be used and findthe modes of operation, the characteristics and the conditions of adequacy which could allow possible use of the proposed models.* Based on these models and experiments, we intend to propose a concrete application of theseoperating regimes for a sensor, actuator, and regulator type application in each case.The candidate's research project fits into ICTP-SAIFR's interest in promoting advances in the area of physics of nonlinear systems with technological applications. Specifically, the project aims to study concrete applications: mathematical modeling of a mechanized hormone secretion substitute, in the case of a system that does not work well.